A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound

Details A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound

1996-04-29

arxiv.org/abs/quant-ph/9604038v2

Phys.Rev. A54 (1996) 1862

Physics

Quantum Physics

REVTeX, 22 pages; introduction clarified and corrected to explicitly include non-orthogonal codes, claim of appendix A restric

Scientific paper

10.1103/PhysRevA.54.1862

I develop methods for analyzing quantum error-correcting codes, and use these
methods to construct an infinite class of codes saturating the quantum Hamming
bound. These codes encode $k=n-j-2$ qubits in $n=2^j$ qubits and correct $t=1$
error.

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